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Cross‐migrative triangular norms
Author(s) -
Fodor János,
Klement Erich Peter,
Mesiar Radko
Publication year - 2012
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21526
Subject(s) - mathematics , norm (philosophy) , pure mathematics , equivalence (formal languages) , nilpotent , equivalence relation , law , political science
We study the cross‐migrativity of triangular norms. The classes of continuous triangular norms, which are cross‐migrative with respect to some strict or nilpotent triangular norm, respectively, are completely characterized, as well as those which are cross‐migrative with respect to the greatest and smallest triangular norms, respectively. As a by‐product, parametric systems of equivalence relations on the classes of strict and nilpotent triangular norms are found. © 2012 Wiley Periodicals, Inc.